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International Journal of Robust and Nonlinear Control
Article . 2020 . Peer-reviewed
License: CC BY
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zbMATH Open
Article . 2021
Data sources: zbMATH Open
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Lyapunov‐based saturated continuous twisting algorithm

Lyapunov-based saturated continuous twisting algorithm
Authors: Mohammad Ali Golkani; Richard Seeber; Markus Reichhartinger; Martin Horn;

Lyapunov‐based saturated continuous twisting algorithm

Abstract

AbstractIn this article, a second‐order system, which is affected by disturbances and uncertainties, with a saturating actuator is considered. A novel robust feedback control law is designed based on the sliding mode technique. The twisting and the continuous twisting algorithms are incorporated into the design, which is based on level curves of a Lyapunov function. The performance of the standard continuous twisting algorithm is greatly improved in the case that the initial condition of the system is far away from the origin. A parameter setting for the controller is given by establishing global finite‐time stability properties of the closed‐loop system origin. Feasibility and effectiveness of the proposed approach are indicated in a real‐world application as well as numerical simulation.

Related Organizations
Keywords

Lyapunov and storage functions, Finite-time stability, higher-order sliding mode control, Variable structure systems, Feedback control, saturating actuator, Lyapunov function approach

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
3
Average
Average
Average
hybrid